Prove the following 2 tan 0 a sin 20 1+ tan? 0 2cos' x-cos x b cot xe sin x - 2 sin' x

Q: 2 Using the relation 2 (1 cosx) x, V x € (0, - · 4)

A: A relation is given by, 21-cosx < x2, where x≠0. The objective is to use the given relation to…

Q: Prove that: 1) csc 0 + tan 0 . sec 0 csc 0.sce20 1-cos" x 2) sin x .cos x tan x 3) 3 cos' x-sia x+1…

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Q: 04) Prove that 1- Cos + x) = sin x, 2- (sin x +cos x) sec x = sec2 x %3D

A: We have to prove that following trigonometric identity.

Q: Prove that sin -1 x + cos -1  x = pie /2

A: We have to prove:

Q: 1-sinx cosx 2. a) Show 6) Prove 3sino – 4sin0 = sin(30) cosx 1+sinx

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Q: Prove the identity sec x - cos x = sinxtanx

A: To prove the identity

Q: Prove the identity (sin x - cos x)2 = 1 - sin 2x

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Q: Prove: sin x tan x+cos xcot x+2 sin x cos x = tan x+ cot x + cos²

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Q: Prove the identity.   (cosh x + sinh x)n = cosh nx + sinh nx  (n is any real number)

A: The cosh x and sinh x are given by, LHS =

Q: Prove the trigonometric identity  1+sec2x /over/ 1+tan2x=1+cos2x

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Q: Prove the identity. sin(2x) 1+ cos(2x) tan(x) = 2 sin(x) · sin(2x) 1+ cos(2x) 1+ (2 cos?(x) – 1) 2…

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Q: 8. Prove the following identities. Please show steps clearly. cosx a) secx+ tan x =- 1-sinx cos2x+1…

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Q: 1) Prove that sin 0 tan 0 + cos 0 = sec 0.

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Q: Since tan(x) sin(z) cos(z) we can use the quotient rule to find tan(x) dr sin(z) 2 cos(x) Which of…

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Q: Prove the identity. cos (x-y) 1+ tanx tany cosx cosy

A: cos(A-B) = cos(A) Cos(B) +sin(A) sin(B)

Q: 1 Verify the identity 1 = 2 tan x sec x %3D 1-sin x 1+sin x

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Q: 7) Verify the identity (cot x – csc x)(cos x + 1) = -sin x

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Q: 12 with A in QIII and find 13 Let sin A %3D tan(2A) = Pre %3D

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Q: 1- cos 2x 1 a) sin 2x cot x

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Q: Prove (Start either from the LI 1- sin x 2. cosx COSx 1+ sin x

A: To prove : 1-sinxcosx=cosx1+sinx

Q: Show that (tan−1 x)'= cos2(tan−1 x) and then use Figure to prove that (tan−1 x)' = (x2 + 1) −1.

A: The objective is to show that:  tan-1x'=cos2tan-1x.   Use the formula: ddxf-1x=1f'f-1x. Here,…

Q: 3. Prove the identity : sin(x- y) tanx - tany cosxcosy

A: The given identity is, tanx-tany=sinx-ycosxcosy The identity will be true if the left-hand term will…

Q: TT True or False tan 0 • cos 0 sin 0 for any 0 # (2k + 1) %3D

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Q: Prove the identity: sin (x-y) tanx- tany cosx cosy

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Q: Prove ONE of the follow sin x+ cos 2x-1 tan x %3D a) cos x-sin 2x

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Q: Prove the identity. s (xxy) sinx- sin (x-y) cosx= siny cos

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Q: prove that = - Cotx + C 1- cosx +Sin'x

A: According to the question, we need to evaluate the integration: F(x) = 2(1 - cos2x + sin2x) We need…

Q: 3. Prove the identity tan * COS v t CSC x Sinx=2sinx

A: Prove the identity

Q: Prove the identity. + sin 3 cos x- cosx

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Q: Can you show me the step-by-step proof of this

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Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: 1 tan 0+ 1 sin 0 sin (90° – 0) tan 0 -

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Q: Simplify sin “ z – cos“ æ O 2cos (x) - 1 O 2sin*(x) - 1 O 1+ 2sin*(x) O 1+ 2cos (x)

A: Using trigonometric identities.

Q: Prove the identity (cosh x + sinh x) n  = cosh n  x + sinh nx

A: Consider the given L.H.S of the given identity coshx+sinhhxn

Q: sin 2x sin x Cos 2x %3D Prove that 4 cos x - sec x Cos a

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Q: a1/ Prove that 1+ sine tane + sece - 1 tane - sece +1 cose

A: Note:-     as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 5. Restricting to the domain (0, ∞), let 1 1 = cos(=) sin(=)+= and 1 1 g(x) = (cos(÷) sin(÷)+ g(=) =…

A: Sine is a periodic function it dpes not approaches  any value as x approaches  to infinity

Q: Find x where 0 ≤ x ≤ 2π. cos x - tan²x = 1

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Q: 2. Prove the following identities: a) tanx + cotx = secxcscx cosx + 1+sinx cosx b) 1-sinx cosx

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Q: Prove the identity. sec (-x) – sin (–x) tan (–x) = cos cosx

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Q: 1. tan x csc x-secx cot x sin x-cos x sin x cos x

A: This is a problem related to trigonometric formula. General formula which use for solving 1 problem…

Q: . Prove only 1 of the 2 identities given. sin x 1-cosx = 2 csc x 1-cos x sinx -) 1- sin? x – sin² y…

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Q: (1+cos(x))(1-cos(x))=1/2sin(2x)tan(x)

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Q: 1. Which expression is equal to sec x tan z sin x using identities?

A: We can use simple trigonometric identities to solve the given equation.

Q: Prove using trig identities sin 20° =1 V3 cos 20° – 2 sin 40°

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Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

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Q: Given that f (x)= cosx+2 sin x+x² . Determine the root of f (x) using false-position method %3| in…

A: We have to find the root of equation

Q: () - VE ()- 1+cos 0 1-cos 0 Show that cos and sin (: using de Moivre's Theorem.

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Q: Prove the identity : sin(x-y) tanx- tany Cosxcosy

A: Consider, tanx-tany=sinxcosx-sinycosy=sinx cosy-cosx sinycosx cosy=sinx-ycosx cosy…